L. M. G. M. Tolhuizen, I. A. Shah, and A. A. C. Kalker. On constructing regular filter banks from domain bounded polynomials. IEEE Trans. Signal Process., 42(2):451--456, 1994. Home/Search Document Details and Download
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Factoring Wavelet Transforms Into Lifting Steps - Daubechies, Sweldens (1996) (174 citations) (Correct)
....as lifting. ffl The technique of Vetterli en Herley [57] to build biorthogonal wavelet filters is another predecessor of lifting. Their Proposition 4.7 is the key behind lifting in the first generation setting. It turns out that the same lemma was also used for the construction of filter banks in [49] and in [31] ffl Dahmen and collaborators, independently of lifting, worked on stable completions of multiscale transforms, a setting similar to second generation wavelets [9, 17] Again independently, both of Dahmen and of lifting, Harten developed a general multiresolution approximation ....
L. M. G. M. Tolhuizen, I. A. Shah, and A. A. C. Kalker. On constructing regular filter banks from domain bounded polynomials. IEEE Trans. Signal Process., 42(2):451--456, 1994.
Wavelet Transforms That Map Integers To Integers - Calderbank, Daubechies.. (1996) (123 citations) (Correct)
.... Lifting is a flexible technique that has been used in several different settings, for an easy construction and implementation of traditional wavelets [32] and of second generation wavelets [33] such as spherical wavelets [26] Lifting is also closely related to several other techniques [13, 22, 37, 34, 20, 4, 15, 7, 3, 19, 28]. Rather than giving the general structure of lifting at this point, we show how to rewrite the Haar and S transforms using lifting. We rewrite (3.1) in two steps which need to be executed sequentially. First compute the difference and then use the difference in the second step to compute the ....
L. M. G. M. Tolhuizen, I. A. Shah, and T. A. C. M. Kalker. On constructing regular filter banks from domain bounded polynomials. IEEE Trans. Signal Process., 42(2):451--456, 1994.
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